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Finding the Fourth Proportional to 645,784.60, 968,761.54 and 213,358.40

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Solution

The fourth proportional to 645,784.60, 968,761.54 and 213,358.40 is: 320,065.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,784.60 : 968,761.54 = 213,358.40 : x
  2. Step 2: Convert to fraction form
    645,784.60/968,761.54 = 213,358.40/x
  3. Step 3: Cross multiply
    645,784.60x = 968,761.54 × 213,358.40
  4. Step 4: Simplify right side
    645,784.60x = 206,693,412,155.94
  5. Step 5: Solve for x
    x = 206,693,412,155.94/645,784.60
  6. Step 6: Final answer
    x = 320,065.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.